A different class of weight-shifting operators that preserve the spacetime dimension \(d\)  while shifting the \(\Delta _i\)  was identified in [1]}.
In momentum space, these operators have been applied to de Sitter correlators in [2]}, [3]}.
With the aid of shadow conjugation, we can write them in the compact form [4]}


W–ij =12  (pi-pj)(pi-pj )
